82124113 has 2 divisors, whose sum is σ = 82124114. Its totient is φ = 82124112.

The previous prime is 82124057. The next prime is 82124123. The reversal of 82124113 is 31142128.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82029249 + 94864 = 9057^2 + 308^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82124113 is a prime.

It is not a weakly prime, because it can be changed into another prime (82124123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41062056 + 41062057.

It is an arithmetic number, because the mean of its divisors is an integer number (41062057).

Almost surely, 2^82124113 is an apocalyptic number.

It is an amenable number.

82124113 is a deficient number, since it is larger than the sum of its proper divisors (1).

82124113 is an equidigital number, since it uses as much as digits as its factorization.

82124113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 384, while the sum is 22.

The square root of 82124113 is about 9062.2355409689. The cubic root of 82124113 is about 434.6672277705.

The spelling of 82124113 in words is "eighty-two million, one hundred twenty-four thousand, one hundred thirteen".